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A005167 a(n+1) = (1 + a(0)^4 + ... + a(n)^4 )/(n+1) (not always integral!).
(Formerly M1957)
5
1, 2, 9, 2193, 5782218987645, 223567225753623833253893162919867828939456664850241 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

Guy states that by computing the sequence modulo 97 it is easy to show that a(97) is not integral. - T. D. Noe, Sep 17 2007

REFERENCES

R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), no. 8, 697-712.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=0..7

N. Lygeros & M. Mizony, Study of primality of terms of a_k(n)=(1+(sum from 1 to n-1)(a_k(i)^k))/(n-1)

CROSSREFS

Cf. A005166, A003504.

Cf. A108394

Sequence in context: A062840 A024226 A181865 * A067039 A175980 A027734

Adjacent sequences:  A005164 A005165 A005166 * A005168 A005169 A005170

KEYWORD

easy,nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 17 21:13 EST 2012. Contains 206085 sequences.